English

Equalizers in the category of cocomplete cocategories

Category Theory 2007-06-13 v3 Mathematical Physics K-Theory and Homology math.MP

Abstract

We prove existence of equalizers in certain categories of cocomplete cocategories. This allows us to complete the proof of the fact that A-infinity functor categories arise as internal Hom-objects in the category of differential graded cocomplete augmented cocategories.

Keywords

Cite

@article{arxiv.math/0612175,
  title  = {Equalizers in the category of cocomplete cocategories},
  author = {Bernhard Keller and Oleksandr Manzyuk},
  journal= {arXiv preprint arXiv:math/0612175},
  year   = {2007}
}

Comments

12 pages; added references; an alternative approach sketched; typos corrected

R2 v1 2026-07-22T17:47:30.057Z